An exponential stability result for the wave equation
نویسنده
چکیده
We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize this system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function which consists of a strictly positive real function and some poles on the imaginary axis. We then show that under some conditions the closed-loop system is exponentially stable. ? 2002 Published by Elsevier Science Ltd.
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ورودعنوان ژورنال:
- Automatica
دوره 38 شماره
صفحات -
تاریخ انتشار 2002